92-189 Ibort L.A , Landi G., Mar'in-Solano , J., Marmo G.
On the inverse problem of Lagrangian supermechanics (34K, LaTeX) Dec 1, 92
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Abstract. The inverse problem for Lagrangian supermechanics is investigated. A set of necessary and sufficient conditions for a system of second order differential equations in superspace to derive from (a possibly non regular) superlagrangian function are given. The harmonic superoscillator is revisited and a family of even and odd alternative superlagrangians are constructed for it. Finally, we comment on the existence of recursion operators.

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